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10313121220 = 2251481348181
BaseRepresentation
bin10011001101011010…
…11011110111000100
3222121201221211200121
421212231123313010
5132110124334340
64423205551324
7513366040543
oct114655336704
928551854617
1010313121220
114412540686
121bb9a15544
13c848306bc
146db99015a
1540560e94a
hex266b5bdc4

10313121220 has 24 divisors (see below), whose sum is σ = 21672240408. Its totient is φ = 4122451200.

The previous prime is 10313121191. The next prime is 10313121223. The reversal of 10313121220 is 2212131301.

It can be written as a sum of positive squares in 4 ways, for example, as 3908000196 + 6405121024 = 62514^2 + 80032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10313121194 and 10313121203.

It is not an unprimeable number, because it can be changed into a prime (10313121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144471 + ... + 203710.

It is an arithmetic number, because the mean of its divisors is an integer number (903010017).

Almost surely, 210313121220 is an apocalyptic number.

10313121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313121220 is an abundant number, since it is smaller than the sum of its proper divisors (11359119188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313121220 is a wasteful number, since it uses less digits than its factorization.

10313121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349671 (or 349669 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10313121220 its reverse (2212131301), we get a palindrome (12525252521).

The spelling of 10313121220 in words is "ten billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1481 2962 5924 7405 14810 29620 348181 696362 1392724 1740905 3481810 6963620 515656061 1031312122 2062624244 2578280305 5156560610 10313121220